What is the 819th prime number?
The 819th prime number is 6299. The next prime is 6301 (a gap of 2) and the one before is 6287.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 819th one is 6299.
- 2
6299 is prime because no prime up to ā6299 ā 79.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 819th prime is close to 819 Ć ln(819) ā 5494, and here it is 6299.
- 4
6299 is a twin prime: 6299 and 6301 are both prime.
Primes around the 819th
| Position | Prime | Gap from the previous |
|---|---|---|
| 816 | 6271 | 2 |
| 817 | 6277 | 6 |
| 818 | 6287 | 10 |
| 819 | 6299 | 12 |
| 820 | 6301 | 2 |
| 821 | 6311 | 10 |
| 822 | 6317 | 6 |
Questions
What is the 819th prime number?
6299.
Which prime number is 6299?
6299 is the 819th prime number.
What is the sum of the first 819 primes?
2,396,236.